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Ch.12 - Solids and Modern Materials
Chapter 12, Problem 66a

The coordination number for the Al3+ ion is typically between four and six. Use the anion coordination number to determine the Al3 + coordination number in the following compounds: (a) AlF3 where the fluoride ions are two coordinate.

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1
Identify the coordination number of the fluoride ions, which is given as two.
Understand that the coordination number of the cation (Al^{3+}) is determined by the number of anions it is bonded to.
In AlF_3, each fluoride ion is bonded to two Al^{3+} ions, indicating a bridging role.
Calculate the total number of fluoride ions surrounding one Al^{3+} ion by considering the stoichiometry of the compound.
Conclude that the coordination number of Al^{3+} is determined by the number of fluoride ions it coordinates with, based on the structure of AlF_3.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Coordination Number

The coordination number refers to the number of ligand atoms that are bonded to a central metal ion in a coordination complex. It is a crucial concept in coordination chemistry, as it influences the geometry and stability of the complex. For example, a coordination number of four typically leads to a tetrahedral arrangement, while six results in an octahedral geometry.
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Ligands

Ligands are ions or molecules that can donate a pair of electrons to a central metal ion, forming coordinate covalent bonds. They can vary in their ability to coordinate, with some being monodentate (binding through one atom) and others being polydentate (binding through multiple atoms). The nature and number of ligands significantly affect the properties and reactivity of the metal complex.
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Anion Coordination

Anion coordination refers to the arrangement and bonding of anions around a central cation in a coordination compound. The coordination number of the cation can be influenced by the coordination number of the anions. In the case of AlF3, where fluoride ions have a coordination number of two, this suggests that the aluminum ion can effectively coordinate with multiple fluoride ions, leading to a specific overall coordination number for Al3+.
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Related Practice
Open Question
At room temperature and pressure, RbI crystallizes with the NaCl-type structure. (a) Use ionic radii to predict the length of the cubic unit cell edge. (b) Use this value to estimate the density. (c) At high pressure, the structure transforms to one with a CsCl-type structure. Use ionic radii to predict the length of the cubic unit cell edge for the high-pressure form of RbI. (d) Use this value to estimate the density. How does this density compare with the density you calculated in part (b)?
Textbook Question

CuI, CsI, and NaI each adopt a different type of structure. The three different structures are those shown in Figure 12.26. (a) Use ionic radii, Cs+ 1r = 1.81 A 2, Na+ 1r = 1.16 A 2, Cu+ 1r = 0.74 A 2, and, I- 1r = 2.06 A 2, to predict which compound will crystallize with which structure.

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Open Question
The coordination number for Mg2+ ion is usually six. Assuming this holds, determine the anion coordination number in the following compounds: (a) MgS, (b) MgF2, (c) MgO.
Textbook Question

The coordination number for the Al3+ ion is typically between four and six. Use the anion coordination number to determine the Al3 + coordination number in the following compounds: (b) Al2O3 where the oxygen ions are six coordinate.

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Textbook Question

The coordination number for the Al3+ ion is typically between four and six. Use the anion coordination number to determine the Al3 + coordination number in the following compounds: (c) AlN where the nitride ions are four coordinate.

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Open Question
Classify each of the following statements as true or false: (a) Although both molecular solids and covalent-network solids have covalent bonds, the melting points of molecular solids are much lower because their covalent bonds are much weaker. (b) Other factors being equal, highly symmetric molecules tend to form solids with higher melting points than asymmetrically shaped molecules.